What is the 2627th prime number?
The 2627th prime number is 23609. The next prime is 23623 (a gap of 14) and the one before is 23603.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2627th one is 23609.
- 2
23609 is prime because no prime up to ā23609 ā 153.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2627th prime is close to 2627 Ć ln(2627) ā 20684, and here it is 23609.
- 4
23609 has no twin: neither 23607 nor 23611 is prime.
Primes around the 2627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2624 | 23593 | 12 |
| 2625 | 23599 | 6 |
| 2626 | 23603 | 4 |
| 2627 | 23609 | 6 |
| 2628 | 23623 | 14 |
| 2629 | 23627 | 4 |
| 2630 | 23629 | 2 |
Questions
What is the 2627th prime number?
23609.
Which prime number is 23609?
23609 is the 2627th prime number.
What is the sum of the first 2627 primes?
29,128,762.